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Finding the Fourth Proportional to 2,405.16, 3,607.02 and 844.74

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Solution

The fourth proportional to 2,405.16, 3,607.02 and 844.74 is: 1,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.16 : 3,607.02 = 844.74 : x
  2. Step 2: Convert to fraction form
    2,405.16/3,607.02 = 844.74/x
  3. Step 3: Cross multiply
    2,405.16x = 3,607.02 × 844.74
  4. Step 4: Simplify right side
    2,405.16x = 3,046,994.07
  5. Step 5: Solve for x
    x = 3,046,994.07/2,405.16
  6. Step 6: Final answer
    x = 1,266.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.